Answer: x=0 and y=3
Step-by-step explanation:
This is simple substitution problem. You would take the equation y=2x+3 and insert into the equation 5x-2y=-6 like so: 5x-2(2x+3)=-6. Since y is equal to 2x+3 in the first equation you can replace y with that equation in the second equation. Now you find x. So here’s what we have:
5x-2(2x+3)= -6
Multiply. 5x-4x-6=-6
Subtract like terms. X-6=-6
Get X by itself by adding 6 to the other side: (-6+-6=0) now you have X=0.
Now plug X (0) into the original equation (y=2x+3)
Y= 2(0) +3
Multiply. Y=0+3
Add. Y=3
and boom! you have both your y and x values. You can check by inserting both x and y into both equations, if it comes out equal then it’s correct! hope this helped!